Metric Segments in Gromov-Hausdorff class

نویسندگان

چکیده

We study properties of metric segments in the class all spaces considered up to an isometry, endowed with Gromov--Hausdorff distance. On isometry classes compact spaces, Gromov-Hausdorff distance is a metric. A segment that consists points lying between two given ones. By von Neumann--Bernays--Godel (NBG) axiomatic set theory, proper monster collection, e.g., collection cardinal sets. prove any if contains at least one space positive distances from endpoints. In addition, we show restriction non-degenerated non-compact set.

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ژورنال

عنوان ژورنال: ??????????? ???????

سال: 2022

ISSN: ['2617-5525', '2617-5533']

DOI: https://doi.org/10.22405/2226-8383-2022-23-3-5-18